Zero modes for the magnetic Pauli operator in even-dimensional Euclidean space
Författare
Summary, in English
We study the ground state of the Pauli Hamiltonian with a magnetic field in R2d,d>1. We consider the case where a scalar potential W is present and the magnetic field B is given by B=2i ∂̄∂W. The main result is that there are no zero modes if the magnetic field decays faster than quadratically at infinity. If the magnetic field decays quadratically then zero modes may appear, and we give a lower bound for the number of them. The results in this paper partly correct a mistake in a paper from 1993.
Publiceringsår
2008
Språk
Engelska
Sidor
111-128
Publikation/Tidskrift/Serie
Letters in Mathematical Physics
Volym
85
Issue
2-3
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Nyckelord
- even-dimensional Dirac and Pauli operators
- magnetic fields
- zero-modes
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0377-9017